IEEE Transactions on Automatic Control · 2015 · 31 citations · 17 references
Natural SciencesSystems EngineeringDistributed SystemsDynamical SystemsReal-time SystemsControl TheoryDelay ModelingDistributed ControlStabilityStability TheoryDelay SystemsDelay-dependent StabilityDelay-dependent Stability AnalysisDelay-dependent Stability CriteriaFundamental MatrixLyapunov FunctionsLyapunov StabilityStability Conditions
Necessary stability conditions for linear systems with multiple pointwise and distributed delays are presented. New properties that connect the Lyapunov delay matrix and the fundamental matrix of these systems are instrumental in proving that these conditions depend exclusively on the Lyapunov delay matrix. The result is illustrated by some examples.
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